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113015040 = 2835191549
BaseRepresentation
bin1101011110001…
…11100100000000
321212122202111020
412233013210000
5212412440130
615114145440
72541416625
oct657074400
9255582436
10113015040
1158880966
1231a22280
131a54c808
141101c34c
159dc5e10
hex6bc7900

113015040 has 144 divisors (see below), whose sum is σ = 380184000. Its totient is φ = 28532736.

The previous prime is 113015039. The next prime is 113015047. The reversal of 113015040 is 40510311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113015047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72186 + ... + 73734.

Almost surely, 2113015040 is an apocalyptic number.

113015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190092000).

113015040 is an abundant number, since it is smaller than the sum of its proper divisors (267168960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113015040 is a wasteful number, since it uses less digits than its factorization.

113015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113015040 is about 10630.8532112902. The cubic root of 113015040 is about 483.4802607878.

Adding to 113015040 its reverse (40510311), we get a palindrome (153525351).

The spelling of 113015040 in words is "one hundred thirteen million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1549 1824 1920 2280 2432 3040 3098 3648 3840 4560 4647 4864 6080 6196 7296 7745 9120 9294 12160 12392 14592 15490 18240 18588 23235 24320 24784 29431 30980 36480 37176 46470 49568 58862 61960 72960 74352 88293 92940 99136 117724 123920 147155 148704 176586 185880 198272 235448 247840 294310 297408 353172 371760 396544 441465 470896 495680 588620 594816 706344 743520 882930 941792 991360 1177240 1189632 1412688 1487040 1765860 1883584 1982720 2354480 2825376 2974080 3531720 3767168 4708960 5650752 5948160 7063440 7534336 9417920 11301504 14126880 18835840 22603008 28253760 37671680 56507520 113015040